Answer:
(a) (x-2)^2 +(y-2)^2 = 16
(b) r = 2
Step-by-step explanation:
(a) When the circle is offset from the origin, the equation for the radius gets messy. In general, it will be the root of a quadratic equation in sine and cosine, not easily simplified. The Cartesian equation is easier to write.
Circle centered at (h, k) with radius r:
(x -h)^2 +(y -k)^2 = r^2
The given circle is ...
(x -2)^2 +(y -2)^2 = 16
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(b) When the circle is centered at the origin, the radius is a constant. The desired circle is most easily written in polar coordinates:
r = 2
Answer:
No.
Step-by-step explanation:
Y=2x goes up twice and to the right once, it passes through the origin, therefore it won't touch or go pass by point (2,1)
Segments <em>AB</em> and <em>CD</em> are perpendicular.
Answer:
A) 50
Attached is the image of the figure.
Step-by-step explanation:
Area of a circle can be expressed as;
Area A = πr^2 ......1
Where;
r = radius
From the attached image, the shape is a Circle and the diameter of the circle is 8 units.
Diameter d = 8
Radius r = diameter/2 = 8/2 = 4 units
Substituting the radius into equation 1;
Area A = π × 4^2 = 16π
Area A = 50.265
Area A = 50 square units (approximately)
Answer: An estimate or approximate number
Step-by-step explanation: